Point Slope Formula

Front

What is the Point-Slope Formula?

Back

The Point-Slope Formula is used to find the equation of a line given a point (x₁, y₁) and the slope (m). It is expressed as: y - y₁ = m(x - x₁).

Front

How do you calculate the slope between two points?

Back

The slope (m) between two points (x₁, y₁) and (x₂, y₂) is calculated using the formula: m = (y₂ - y₁) / (x₂ - x₁).

Front

Given points (2, −7) and (−1, 6), what is the slope?

Back

The slope is -13/3.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation: y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line passes through the point (1, 5) with a slope of 3, what is the equation of the line?

Back

The equation of the line is y = 3x + 2.

Front

What does the term 'domain' refer to in a graph?

Back

The domain refers to the set of all possible x-values (inputs) for which the function is defined.

Front

What is the domain of the graph represented by -4 ≤ x ≤ 3?

Back

The domain includes all x-values from -4 to 3, inclusive.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How can you convert from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y₁ = m(x - x₁)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the relationship between parallel lines and their slopes?

Back

Parallel lines have the same slope but different y-intercepts.